论文标题
与给定能量谱相关的潜在功能的构建
Construction of potential functions associated with a given energy spectrum
论文作者
论文摘要
使用基于能量和物理参数的正交多项式的量子力学的公式，我们提出了一种方法，该方法为与给定能量谱相对应的确切可解决的问题提供了一类电位函数。在这项工作中，我们研究了与连续双Hahn多项式相关的连续和离散能量谱的混合物。这些包括一维对数电势和三维库仑和线性电位。
Using a formulation of quantum mechanics based on orthogonal polynomials in the energy and physical parameters, we present a method that gives the class of potential functions for exactly solvable problems corresponding to a given energy spectrum. In this work, we study the class of problems with a mix of continuous and discrete energy spectrum that are associated with the continuous dual Hahn polynomial. These include the one-dimensional logarithmic potential and the three-dimensional Coulomb plus linear potential.
